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Diffstat (limited to 'gsl-1.9/statistics/wmean_source.c')
-rw-r--r-- | gsl-1.9/statistics/wmean_source.c | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/gsl-1.9/statistics/wmean_source.c b/gsl-1.9/statistics/wmean_source.c new file mode 100644 index 0000000..edf0507 --- /dev/null +++ b/gsl-1.9/statistics/wmean_source.c @@ -0,0 +1,48 @@ +/* statistics/wmean_source.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Jim Davies, Brian Gough + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or (at + * your option) any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +double +FUNCTION (gsl_stats, wmean) (const BASE w[], const size_t wstride, const BASE data[], const size_t stride, const size_t size) +{ + /* Compute the weighted arithmetic mean M of a dataset using the + recurrence relation + + M(n) = M(n-1) + (data[n] - M(n-1)) (w(n)/(W(n-1) + w(n))) + W(n) = W(n-1) + w(n) + + */ + + long double wmean = 0; + long double W = 0; + + size_t i; + + for (i = 0; i < size; i++) + { + BASE wi = w[i * wstride]; + + if (wi > 0) + { + W += wi; + wmean += (data[i * stride] - wmean) * (wi / W); + } + } + + return wmean; +} |